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Finding the Third Proportional to 79,704 and 170,856

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Solution

The third proportional to 79,704 and 170,856 is: 366,252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,704 : 170,856 = 170,856 : x
  2. Step 2: Convert to fraction form
    79,704/170,856 = 170,856/x
  3. Step 3: Cross multiply
    79,704x = 170,856 × 170,856
  4. Step 4: Simplify right side
    79,704x = 29,191,772,736
  5. Step 5: Solve for x
    x = 29,191,772,736/79,704
  6. Step 6: Final answer
    x = 366,252.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.